 | Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...angles ABC, DEF are equal, and the angles ACB, DFE are supplementary ; show that AB : DE = AC: DF. If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional, so that the sides opposite equal angles correspond, show that... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...thenproveT.il andT.llcby means of Ar.6. 309. THEOREM [Ar.7.]. — It two triangles (or two parallelograms) have one angle of the one equal to one angle of the other, their areas are in the ratio of the products of tbe •ides containing the equal angles. (i) In Fig.... | |
 | Mathematics - 1909 - 605 pages
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
 | University of Allahabad - 1909 - 638 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other, and the s'des about these equal angles proportional, the triangles are similar. The internal bisector of an... | |
 | Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...to CA to meet BA at E ; show that the triangles BDE, ADC are equal in area. 9. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...and meets DF at H. Prove that A EKH : A FKH = ED : DF. THEOREM 10 If two triangles have one angle of one equal to one angle of the other and the sides about these angles proportional, the triangles are similar, the equal angles being opposite corresponding... | |
 | University of Allahabad - 1910 - 682 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one an^'le of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | University of Allahabad - 1911 - 726 pages
...two triangles are equiangular, their corresponding sides are proportional ; and the converse. If wo triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
 | Trinity College (Dublin, Ireland) - 1911 - 614 pages
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB.... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...internally, the straight line through their centres passes through the point of contaot. 10. Prove that if two triangles have one angle of the one equal to one angle of the other, and the aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
